possible theorem (?): the union of elements in the maximal subgroups exhaust all moduli (as they do for thirty) iff N (ie 30, here) is squarefree On Fri, Apr 22, 2016 at 2:52 PM, Dan Asimov <dasimov@earthlink.net> wrote:
Arrgh^arrgh.
That last one should have been
{-14, -8, -4, -2, 2, 4, 8, 14}
, of course.
(In case it helps to know, I'm wearing an out-of-date pair of glasses while I wait for the new ones.)
—Dan
On Apr 22, 2016, at 1:34 PM, Dan Asimov <dasimov@earthlink.net> wrote:
I like this a lot, and am going to rewrite the maximal subgroups in my preferred form that includes negative numbers, for symmetry's sake:
{0}
{15}
{-5, 5}
{-10, 10}
{-9, -3, 3, 9}
{-12, -6, 6, 12}
{-13, -11, -7, -1, 1, 7, 11, 13}
{-14, -8, -4, -2, 2, 4, 8},
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